🚀 go-pugleaf

Mehmet Avcioglu wrote:
> 
> According to the above equation, If you wanted to reach the speed of
> light, your equation would turn out to be division by zero, and you
> would end up with infinity. Actually it is not infinity, it is
> undefined. Consider the posibility that you already passed the speed of
> light, your result is no longer undefined. I really think there is an
> exception to this equation.

Infinity is by definition undefined.  :)  The case in point though is
that the speed of light is an unreachable constant.  If you were .001
km/s away from the speed of light, getting to .0001 km/s away would
require approximately ten times the energy it took to get to .001 from
.01.  The logical result of this is that there _is_ no way to reach the
absolute value of c, unless you find some way to conveniently "bypass"
it, a la modern science fiction.  The question of what would happen once
you got past the speed of light is moot, as we have no idea of how to do
it.

> Didn't a French matematician in 19th century proved that PI was equal to
> 2. I mean, not really proved it, but came up with the answer "PI is
> approching to 2". A half-circle with a radius of one has the half
> circumference PI. If you put two smaller half-circles inside that
> half-circle with radiuses .5 you'll get half circumferences PI/2 for
> those 2 smaller ones. Then you replace the half-radius of these smaller
> half-circles with x and take the limit approaching 0. After some more
> math PI comes up equal to the diameter of the first half-circle which
> was 2. I think there is a glitch in there somewhere (probably related to
> the L'Hospital rule), but I couldn't explain it.

I would like to see the actual proof - my remembrance of how to take
that sort of limit has faded into the mists of time.  :)

> I am not saying that PI is 2, but our knowledge of math, physics, our
> knowledge of the workings of the universe is not that solid.
> 
> Thomas Alva Edison once said, "We don't know one millionth of one
> percent about anything".

Oh, certainly.  But we can observe and define the basic rules under
which things behave, and from there extrapolate further knowledge.  If
the universe is truly hiding something that significant about PI, or the
speed of light, we'll find out about it sooner or later...

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